How does one lookup an exponent?

[MattcAnderson]

Hi Everyone,

How can I look up the factorization of a Mersenne exponent?
I assume there is a database of results.
I did not find it in Mersenne.org, but it may be there.
For example, if I want to know how if 2^5-1 or 31 is prime or it's factorization, where do I go?

Regards,
Matt C Anderson

[PhilF]

Go here: https://www.mersenne.org/report_expo...exp_hi=&full=1

Also note you can click on the exponent in the left column for even more info.

[Dr Sardonicus]

Originally Posted by MattcAnderson

Hi Everyone,

How can I look up the factorization of a Mersenne exponent?
I assume there is a database of results.
I did not find it in Mersenne.org, but it may be there.
<snip>

It is.

Go to GIMPS

Top menu items are

Home, Get Started, Current Progress, Create Account, Reports, Manual Testing, More Information/Help, Donate

Choose Reports: Items are

CPU Benchmarks, Top Producers, Top Teams, Detailed Reports

Choose Detailed Reports: Items are

Factors Found, LL Results, PRP Results, ECM Progress, Exponent Status, Factoring Limits

Choose Exponent Status

Type in exponent. You might want to check "Show full details."

[LaurV]

Originally Posted by MattcAnderson

How can I look up the factorization of a Mersenne exponent?

Don't believe these guys who replied above, they want to cheat you. The links and instructions given are not good, as they do not provide factorizations of the exponent of a mersenne number.

Now, we don't know why would you need to look somewhere (like in a list, or what?) to factor the exponent?

Assuming it is not a prime (we only play with the restrictive definition of mersenne numbers here, for which the exponent is always prime), the exponent is a small number that can be factored with pari, or any web calculator in less than one second. Even google, if you search "factors of 12345" will give you the factorization...



On the other hand, and joking apart, you may try factordb to see factors of small (mersenne or not) numbers.You can fill your expression and range of exponents there, and/or scroll or page forward and back.

[MattcAnderson]

Thank you.
That answers my question.

[bhelmes]

Perhaps this graphical presentation of primes is helpful for you,
You can choose the discrete logarithm by clicking on one root :


http://devalco.de/System/system_natural.php